Multiple choice

In a circle whose radius is $5cm$, a central angle intercepts an arc of $15cm$. What is the radian measure of that angle?

  1. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The formula relating arc length (s), radius (r), and central angle in radians (theta) is s = r * theta. Given s = 15 and r = 5, theta = 15 / 5 = 3 radians.

AI explanation

Using the arc length formula for radians, the angle is calculated by dividing the arc length by the radius. This gives 15 cm divided by 5 cm, which equals 3.

Keep practicing — related questions